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Ufa Mathematical Journal, 2015, Volume 7, Issue 4, Pages 32–57
DOI: https://doi.org/10.13108/2015-7-4-32 (Mi ufa300) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The exact bounds of lower type magnitude for entire function of order $\rho\in(0,1)$ with zeros of prescribed average densities

G. G. Braichev

Moscow State Pedagogical University, Moscow, Russia
English version PDF (469 kB) Citations (2)
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DOI: https://doi.org/10.13108/2015-7-4-32
Abstract: We provide exact two-sided estimates for lower type magnitude of entire functions of order $\rho\in(0,1)$. The zeroes of these functions have prescribed upper and lower average densities and are arbitrarily distributed in the complex plane or on a ray. We analyze the obtained results and compare them them with known facts for entire functions of usual type.
Keywords: type and lower type of an entire function, the upper and lower average densities of the sequence of zeroes.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00281
Received: 22.10.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2015, Volume 7, Issue 4, Pages 34–60
Bibliographic databases:
Document Type: Article
UDC: 517.521+517.547.22
MSC: 30D15
Language: English
Original paper language: Russian
Citation: G. G. Braichev, “The exact bounds of lower type magnitude for entire function of order $\rho\in(0,1)$ with zeros of prescribed average densities”, Ufimsk. Mat. Zh., 7:4 (2015), 34–60; Ufa Math. J., 7:4 (2015), 32–57
Citation in format AMSBIB
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  • https://doi.org/10.13108/2015-7-4-32
  • https://www.mathnet.ru/eng/ufa/v7/i4/p34
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
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    Abstract page:355
    Russian version PDF:115
    English version PDF:14
    References:65
     
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